I need help solving problem 13.1-2 (ONLY)

13.1-2. Consider the product mix problem described in Prob. 3.1-13. Suppose that this manufacturing firm actually encounters price elasticity in selling the three products, so that the profits would be different from those stated in Chap. 3. In particular, suppose that the unit costs for producing products 1,2 , and 3 are $25,$10, and $15, respectively, and that the prices required (in dollars) in order to be able to sell x1,x2, and x3 units are (35+100x131),(15+40x241), and (20+50x321), respectively. Formulate a nonlinear programming model for the problem of determining how many units of each product the firm should produce to maximize profit. 3.1-13.* The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act created considerable excess production capacity. Management is considering devoting this excess capacity to one or more of three products; call them products 1,2 , and 3 . The available capacity on the machines that might limit output is summarized in the following table: The number of machine hours required for each unit of the respective products is Productivity coefficient (in machine hours per unit) The sales department indicates that the sales potential for products 1 and 2 exceeds the maximum production rate and that the sales potential for product 3 is 20 units per week. The unit profit would be $50,$20, and $25, respectively, on products 1,2 , and 3 . The objective is to determine how much of each product Omega should produce to maximize profit. (a) Formulate a linear programming model for this problem. C (b) Use a computer to solve this model by the simplex method